Consider the following statements. I. Representation of z=x+ iy in terms of r and θ is called polar form of the complex number. II. arg ((z1/z2))= arg (z1)- arg (z2) Choose the correct option

Question

Consider the following statements. I. Representation of z=x+ iy in terms of r and θ is called polar form of the complex number. II. arg ((z1/z2))= arg (z1)- arg (z2) Choose the correct option (A) Only I is incorrect. (B) Only II is correct (C) Both I and II are incorrect (D) Both I and II are correct.

Tardigrade Admin · Accepted Answer

By definition, both the statements are correct

Q. Consider the following statements. I. Representation of z=x+iy in terms of r and θ is called polar form of the complex number. II. arg(z2​z1​​)=arg(z1​)−arg(z2​) Choose the correct option

Only I is incorrect.

Only II is correct

Both I and II are incorrect

Both I and II are correct.

By definition, both the statements are correct

Q. Consider the following statements.
I. Representation of $z = x + i y$ in terms of $r$ and $θ$ is called polar form of the complex number.
II. $ar g (\frac{z _{1}}{z _{2}}) = ar g (z_{1}) - ar g (z_{2})$
Choose the correct option